【摘要】 LQG调节器在许多工程领域得到了日益广泛的应用。但是当系统受到的外部随机干扰是非平稳时,相关的LQG控制技术还亟需进一步发展。以毗邻建筑非平稳地震响应避碰控制为例对这类问题的求解进行了新的尝试。假定地面运动由基岩处的非平稳随机激励经过单层土的滤波而产生。结合虚拟激励法,对于非平稳随机地震响应分析和微分Riccati方程求解分别采用不同的精细积分策略并予以组合运用。对两座20层毗邻建筑的地震响应LQG控制进行了仿真分析,取得较好的效果。更多还原

【Abstract】 Although LQG regulators have been used frequently, the relevant control technique still requires further development, particularly with non-stationary random disturbances. In this paper, a new attempt is reported in which the LQG control is applied to adjacent tall buildings subjected to non-stationary seismic random excitations. The ground motion is induced by the random excitations from the bedrock through a single-layer soil that is regarded as filter. In combination with the pseudo excitation method (PEM), two precise integration schemes are applied to the analysis of structural non-stationary seismic random responses and the solution of the differential Riccati equations in the transient LQG control process, respectively. Satisfactory control effects are achieved in the numerical simulation with two adjacent 20-storey buildings.更多还原